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1
Content available remote ∇-flat functions on manifolds
100%
Kozłowski W.
Annales Polonici Mathematici
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2004
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tom 84
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nr 2
177-180
EN
We investigate ∇-flat and pointwise-∇-flat functions on affine and Riemannian manifolds. We show that the set of all ∇-flat functions on (M,∇) is a ring which has interesting properties similar to the ring of polynomial functions.
2
Content available remote Hodge type decomposition
100%
Kozłowski W.
Annales Polonici Mathematici
|
2007
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tom 90
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nr 2
99-104
EN
In the space $Λ^p$ of polynomial p-forms in ℝⁿ we introduce some special inner product. Let $H^p$ be the space of polynomial p-forms which are both closed and co-closed. We prove in a purely algebraic way that $Λ^p$ splits as the direct sum $d*(Λ^{p+1}) ⊕ δ*(Λ^{p-1}) ⊕ H^p$, where d* (resp. δ*) denotes the adjoint operator to d (resp. δ) with respect to that inner product.
3
Content available Wpływ wysokości darowizny i stopnia dopasowania sprawy na intencje zakupowe w cause-related marketing
100%
Kozłowski W.
Handel Wewnętrzny
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2016
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nr 3 (362)
153-162
PL
Zajmujący się problematyką marketingu ważnej sprawy koncentrują uwagę na efektach praktykowania CRM oraz ich uwarunkowaniach. Ważnymi, aczkolwiek w niewielkim stopniu uwzględnianymi komponentami badań prowadzonych w odniesieniu do rynku polskiego są rola wysokości darowizny oraz zgodności dopasowania sprawy do produktu. Wbrew oczekiwaniu, wyniki przeprowadzonego eksperymentu wskazują, że obie zmienne nie są czynnikami, które różnicują postawy społeczne względem inicjatyw marketingu ważnej sprawy, wyrażone intencją zakupu produktów z atrybutem społecznej sprawy. Artykuł ma charakter badawczy.
EN
Scientists dealing with issues of cause-related marketing are concentrating their attention on the effects of the practice of CRM and their conditions. Important, although to a small extent taken into account components of the research carried out in relation to the Polish market, are the role of the level of donations and productcause fit. Contrary to expectation, the results of the experiment show that both variables are not factors that differentiate social attitudes towards initiatives of the cause-related marketing, expressed the intention of buying products with the attribute of social cause.
RU
Занимающиеся проблематикой маркетинга с опорой на благотворительность сосредоточивают свое внимание на эффектах применения CRM и их обусловленностях. Важными, хотя в небольшой степени учитываемыми составными частями исследований, проводимых по отношению к польскому рынку, является роль размера дарения и соответствия способа оформления дарственной продукту. Вопреки ожиданию, результаты проведенного эксперимента показывают, что обе переменные не являются факторами, которые дифференцируют общественное отношение к инициативам маркетинга с опорой на благотворительность, выраженное намерением купить продукт с атрибутом благотворительности. Статья имеет исследовательский характер.
4
Content available remote L²-data Dirichlet problem for weighted form Laplacians
100%
Kozłowski W.
Colloquium Mathematicum
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2008
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tom 112
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nr 1
73-88
EN
We solve the L²-data Dirichlet boundary problem for a weighted form Laplacian in the unit Euclidean ball. The solution is given explicitly as a sum of four series.
5
Content available remote A remark on semi-∇-flat functions
100%
Kozłowski W.
Annales Polonici Mathematici
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2006
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tom 89
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nr 2
147-149
EN
We give a pointwise characterization of semi-∇-flat functions on an affine manifold (M,∇).
6
Content available remote Morphological evaluation of the iliac and femoral arteries; possibilities and perspectives
51%
Dziekiewicz M. , Markiewicz T. , Kozłowski W. , Maruszyński M.
Polish Journal of Surgery
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2015
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tom 86
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nr 1
1-6
EN
The study presented an approach to the morphometric image of atherosclerotic lesions of the final segment of the abdominal aorta, femoral and iliac arteries, considering possible endovascular intervention. The evaluation of these arteries is very important, because they are often used as a point of access for endovascular procedures performed on the peripheral arteries, or within the thoracic and abdominal aorta and its branches, as well as coronary arteries. The aim of the study was to determine morphometric measurements describing the atherosclerotic lesions, including the methodology of their surgical interpretation. Material and methods. The study group comprised 128 tomograms of patients qualified for surgery. An algorithm based on the mathematical morphology was designed to track the vessels, starting from the division of the common femoral artery, and ending at the bifurcation of the abdominal aorta. We proposed a set of numerical measurements of the observed arterial changes. Results and conclusions. We analysed 128 tomograms with a 94.5% efficiency, and with the assessment accuracy of the degree of lumen reduction (MAE- 1.5%). We observed much higher measurement values of local tortuosity of the atherosclerotic arteries (0.3 - 1 radians), as compared to their anatomical course in a healthy subject (0 - 0.2 radians). The presented method can be a very accurate and useful tool in the numerical analysis of the lumen distribution of the arteries and atherosclerosis, dedicated to surgeons elaborating management strategies.
7
Content available remote Recognition of atherosclerotic plaques and their extended dimensioning with computerized tomography angiography imaging
45%
Markiewicz T. , Dziekiewicz M. , Maruszyński M. , Bogusławska-Walecka R. , Kozłowski W.
International Journal of Applied Mathematics and Computer Science
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2014
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tom 24
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nr 1
33-47
EN
In this paper the authors raise the issue of automatic discrimination of atherosclerotic plaques within an artery lumen based on numerical and statistical thresholding of Computerized Tomography Angiographic (CTA) images and their advanced dimensioning as a support for preoperative vessel assessment. For the study, a set of tomograms of the aorta, as well as the ilio-femoral and femoral arteries were examined. In each case a sequence of about 130-480 images of the artery cutoff planes were analyzed prior to their segmentation based on morphological image transformation. A crucial step in the staging of atherosclerotic alteration is recognition of the plaque in the CTA image. To solve this problem, statistical and linear fitting methods, including the least-squares approximation by polynomial and spline polynomial functions, as well as the error fitting function were used. Also, new descriptors of atherosclerotic changes, such as the lumen decrease factor, the circumference occupancy factor, and the convex plaque area factor, are proposed as a means of facilitating preoperative vessel examination. Finally, ways to reduce the computational time are discussed. The proposed methods can be very useful for automatic quantification of atherosclerotic changes visualized by CTA imaging.
8
Content available Sarcomatoid renal-cell carcinoma: treatment strategy, review of the literature and a case report
38%
Gębara-Puchniarz A. , Hryciuk B. , Stec R. , Szczylik C. , Grala B. , Kozłowski W.
OncoReview
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2016
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tom 6
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nr 4
A184-187
EN
Introduction: Sarcomatoid renal-cell carcinoma is a very rare cancer characterised with aggressive course of disease and poor prognosis. At present there are no standards of care for this histologic subtype of renal cell carcinoma resistant to various forms of systemic treatment. Methods: The study describes a case of 58 year old woman after left nephrectomy for clear cell carcinoma with sarcomatoid component and after resection of right-kidney tumour for synchronous clear cell carcinoma who received first-line bevacizumab and temsirolimus under the clinical trial, and then second-line chemotherapy based on gemcitabine and doxorubicin and ifosfamide-based third-line chemotherapy. The patient underwent pulmonary metastasectomy twice, and once a metastasectomy for liver metastases. Conclusions: Surgery (including metastases treatment) followed by the systemic chemotherapy seems to be correct option of treatment in patients with renal cell carcinoma with sarcomatoid features. The development of optimum method of systemic treatment requires further prospective randomised trials.
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